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Finding the Fourth Proportional to 3,446.44, 5,170.20 and 1,599.46

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Solution

The fourth proportional to 3,446.44, 5,170.20 and 1,599.46 is: 2,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.44 : 5,170.20 = 1,599.46 : x
  2. Step 2: Convert to fraction form
    3,446.44/5,170.20 = 1,599.46/x
  3. Step 3: Cross multiply
    3,446.44x = 5,170.20 × 1,599.46
  4. Step 4: Simplify right side
    3,446.44x = 8,269,528.09
  5. Step 5: Solve for x
    x = 8,269,528.09/3,446.44
  6. Step 6: Final answer
    x = 2,399.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.